Manual bevelling works, but not the one limited by a Vertex Group
Actually, it work. May be you not assign the vertices correctly.

You should choose &quot;Assign to New Group&quot; from the Panel.

You can press &quot;select&quot; to make sure that you assign the vertices correctly.

You can assign this three vertices to bevel the remaining edges.

Disabling &quot;Clamp Overlap&quot; also can fix the problem for the questioner